SOLUTION: The hypotenuse of a right-angled triangle exceeds one side by 1cm and the other side by 18cm calculate the length of the shortest side

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Question 1132865: The hypotenuse of a right-angled triangle exceeds one side by 1cm and the other side by 18cm calculate the length of the shortest side
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
h, hypotenuse

one side, h-1
other side, h-18

%28h-1%29%5E2%2B%28h-18%29%5E2=h%5E2
-
h%5E2-2h%2B1%2Bh%5E2-36h%2B18%5E2=h%5E2
h%5E2-38h%2B18%5E2%2B1=0
h%5E2-38h%2B325=0
.
.
highlight_green%28h=25%29
-
shortest leg, highlight%287%29

..